1. Creating and Solving Equations
Section 2.2
Creating and Solving Equations

2. Objective By following instructions students will be able to:
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems.

3. Explore A: Interpreting Parts of an Expression
Suppose Lauren and her friend Chris go to a movie. Each of their tickets costs the same amount, and they share a frozen yogurt that costs $ The total amount they spend is $ How can you write an equation that describes the situation?

4. Explain 1A
Rose and Mia are bowling. Mia’s score is twice the difference of Rose’s score and 5. The sum of their scores is Find each student’s bowling score.

5. Explain 1B
Mari, Carlos, and Amanda collect stamps. Carlos has five more stamps that Mari, and Amanda has three times as many stamps as Carlos. Altogether, they have 100 stamps. Find the number of stamps each person has.

6. Your-Turn #1 Would a fractional answer makes sense in Explain 1B?
A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8 feet longer than it is wide. Find the length and width of the garden.

7. Explain 2A
Janine has job offers at two companies. One company offers a starting salary of $28,000 with a raise of $3000 each year. The other company offers a starting salary of $36,000 with a raise of $2000 each year. In how many years would Janine’s salary be the same with both companies? What will the salary be?

8. Explain 2B
One moving company charges $800 plus $16 per hour. Another moving company charges $720 plus $21 per hour. At what numbers of hours will the charge by both companies be the same? What is the charge?

9. Your-Turn #2
In explain 2B, suppose you collected the variable terms on the other side of the equal sign to solve the equation. Would that affect the solution?
Claire bought just enough fencing to enclose either a rectangular garden or a triangular garden, as shown. The two gardens have the same perimeter. How many feet of fencing did she buy?

10. Explain 3
Kim works 4 hours more each day than Jill does, and Jack works 2 hours less each day than Jill does. Over 2 days, the number of hours Kim works is equal to the difference of 4 times the number of hours Jack works and the number of hours Jill works. How many hours does each person work each day?

11. Your-Turn #3
Lisa is 10 cm taller than her friend Ian. Ian is 14 cm taller than Jim. Every month, their heights increase by 2 cm. In 7 months, the sum of Ian’s and Jim’s heights will be 170 cm more than Lisa’s height. How tall is Ian now?

12. Revisit Objective Did we…
Create equations and inequalities in one variable including ones with absolute value and use them to solve problems?

13. Homework
HW:
Day 1: pg 52 #s 1-9, 11, 14-19, 21, 23, 24